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Finding the Fourth Proportional to 12,100.66, 16,691.67 and 7,616.63

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Solution

The fourth proportional to 12,100.66, 16,691.67 and 7,616.63 is: 10,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,100.66 : 16,691.67 = 7,616.63 : x
  2. Step 2: Convert to fraction form
    12,100.66/16,691.67 = 7,616.63/x
  3. Step 3: Cross multiply
    12,100.66x = 16,691.67 × 7,616.63
  4. Step 4: Simplify right side
    12,100.66x = 127,134,152.93
  5. Step 5: Solve for x
    x = 127,134,152.93/12,100.66
  6. Step 6: Final answer
    x = 10,506.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.